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Finding the Fourth Proportional to 23,409.96, 35,100.84 and 11,537.62

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Solution

The fourth proportional to 23,409.96, 35,100.84 and 11,537.62 is: 17,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.96 : 35,100.84 = 11,537.62 : x
  2. Step 2: Convert to fraction form
    23,409.96/35,100.84 = 11,537.62/x
  3. Step 3: Cross multiply
    23,409.96x = 35,100.84 × 11,537.62
  4. Step 4: Simplify right side
    23,409.96x = 404,980,159.50
  5. Step 5: Solve for x
    x = 404,980,159.50/23,409.96
  6. Step 6: Final answer
    x = 17,299.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.